Form factors in B→ππℓνˉℓB\to \pi\pi\ell\bar\nu_\ell from QCD light-cone sum rules

The form factors of the semileptonic $B\to \pi\pi\ell\bar\nu$ decay are calculated from QCD light-cone sum rules with the distribution amplitudes of dipion states. This method is valid in the kinematical region, where the hadronic dipion state has a small invariant mass and simultaneously a large recoil. The derivation of the sum rules is complicated by the presence of an additional variable related to the angle between the two pions. In particular, we realize that not all invariant amplitudes in the underlying correlation function can be used, some of them generating kinematical singularities in the dispersion relation. The two sum rules that are free from these ambiguities are obtained in the leading twist-2 approximation, predicting the $\bar{B}^0\to \pi^+\pi^0$ form factors $F_{\perp}$ and $F_{\parallel}$ of the vector and axial $b\to u$ current, respectively. We calculate these form factors at the momentum transfers $0<q^2\lesssim 12$ GeV$^2$ and at the dipion mass close to the threshold $4m_\pi^2$. The sum rule results indicate that the contributions of the higher partial waves to the form factors are suppressed with respect to the lowest $P$-wave contribution and that the latter is not completely saturated by the $\rho$-meson term.Comment: 17 pages, 4 figures, a few comments and references added, version to be published in Nucl.Phys.

Extracting B→K∗B \to K^* Form Factors from Data

We extract ratios of $B \to K^*$ form factors at low hadronic recoil from recent data on $B \to K^* \mu^+ \mu^-$ decays in a model-independent way. The presented method will improve in the future with further (angular) studies in semileptonic rare B-decays and advance our understanding of form factors, which are important inputs in precision tests of the Standard Model

Christian Hambrock letter to Ohio Adjutant General, August 30, 1862

Letter dated August 30, 1862, from Christian Hambrock, an Orderly Sergeant in Company A of the 37th Regiment, Ohio Volunteer Infantry, to the Adjutant General of Ohio. Hambrock states that he had been wounded and taken prisoner at Princeton, Virginia, and is currently on parole. Having recovered from his wounds, he wishes to report to Camp Chase, and requests a pass for Columbus, Ohio. Established in 1861, Camp Chase served as a recruitment and training center for the Union Army and as a prison camp for captured Confederate soldiers during the Civil War

Hadroproduction of Υ(nS) above the BB[over ¯] thresholds and implications for Y_{b}(10890)

Based on the nonrelativistic QCD factorization scheme, we study the hadroproduction of the bottomonium states Υ(5S) and Υ(6S). We argue to search for them in the final states Υ(1S,2S,3S)π+π−, which are found to have anomalously large production rates at Υ(5S). The enhanced rates for the dipionic transitions in the Υ(5S) energy region could, besides Υ(5S), be ascribed to Yb(10890), a state reported by the Belle Collaboration, which may be interpreted as a tetraquark. The LHC/Tevatron measurements are capable of making a case in favor of or against the existence of Yb(10890), as demonstrated here. Dalitz analysis of the Υ(1S,2S,3S)π+π− states from the Υ(5S)/Yb(10890) decays also impacts directly on the interpretation of the charged bottomonium-like states, Zb(10600) and Zb(10650), discovered by Belle in these puzzling decays